Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 700, 950, 796 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 700, 950, 796 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 700, 950, 796 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 700, 950, 796 is 2.
HCF(700, 950, 796) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 700, 950, 796 is 2.
Step 1: Since 950 > 700, we apply the division lemma to 950 and 700, to get
950 = 700 x 1 + 250
Step 2: Since the reminder 700 ≠ 0, we apply division lemma to 250 and 700, to get
700 = 250 x 2 + 200
Step 3: We consider the new divisor 250 and the new remainder 200, and apply the division lemma to get
250 = 200 x 1 + 50
We consider the new divisor 200 and the new remainder 50, and apply the division lemma to get
200 = 50 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 700 and 950 is 50
Notice that 50 = HCF(200,50) = HCF(250,200) = HCF(700,250) = HCF(950,700) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 796 > 50, we apply the division lemma to 796 and 50, to get
796 = 50 x 15 + 46
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 46 and 50, to get
50 = 46 x 1 + 4
Step 3: We consider the new divisor 46 and the new remainder 4, and apply the division lemma to get
46 = 4 x 11 + 2
We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 50 and 796 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(796,50) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 700, 950, 796?
Answer: HCF of 700, 950, 796 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 700, 950, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 700, 950, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.